A smoothing quasi-Newton method for solving general second-order cone complementarity problems

Journal of Global Optimization ◽

10.1007/s10898-020-00968-y ◽

2020 ◽

Author(s):

Jingyong Tang ◽

Jinchuan Zhou

Keyword(s):

Newton Method ◽

Complementarity Problems ◽

Second Order ◽

Second Order Cone ◽

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Smoothing Newton method for nonsmooth second-order cone complementarity problems with application to electric power markets

Journal of Global Optimization ◽

10.1007/s10898-021-00993-5 ◽

2021 ◽

Author(s):

Pin-Bo Chen ◽

Gui-Hua Lin ◽

Xide Zhu ◽

Fusheng Bai

Keyword(s):

Electric Power ◽

Newton Method ◽

Complementarity Problems ◽

Second Order ◽

Power Markets ◽

Smoothing Newton Method ◽

Electric Power Markets ◽

Second Order Cone

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A Smoothing Newton Method with Fischer-Burmeister Function for Second-Order Cone Complementarity Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-010-9776-0 ◽

2011 ◽

Vol 149 (1) ◽

pp. 79-101 ◽

Author(s):

Yasushi Narushima ◽

Nobuko Sagara ◽

Hideho Ogasawara

Keyword(s):

Newton Method ◽

Complementarity Problems ◽

Second Order ◽

Smoothing Newton Method ◽

Second Order Cone

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A semi-smooth Newton method for projection equations and linear complementarity problems with respect to the second order cone

Linear Algebra and its Applications ◽

10.1016/j.laa.2016.10.007 ◽

2017 ◽

Vol 513 ◽

pp. 160-181 ◽

Author(s):

J.Y. Bello Cruz ◽

O.P. Ferreira ◽

S.Z. Németh ◽

L.F. Prudente

Keyword(s):

Newton Method ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Second Order ◽

Second Order Cone ◽

Projection Equations

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A modified smoothing and regularized Newton method for monotone second-order cone complementarity problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.01.009 ◽

2011 ◽

Vol 61 (5) ◽

pp. 1407-1418 ◽

Author(s):

Linjie Chen ◽

Changfeng Ma

Keyword(s):

Newton Method ◽

Complementarity Problems ◽

Second Order ◽

Second Order Cone ◽

Regularized Newton Method

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Characterization of Q-property for cone automorphisms in second-order cone linear complementarity problems

Linear and Multilinear Algebra ◽

10.1080/03081087.2021.1948493 ◽

2021 ◽

pp. 1-21

Author(s):

Chiranjit Mondal ◽

R. Balaji

Keyword(s):

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Second Order ◽

Second Order Cone

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A Squared Smoothing Newton Method for Second-Order Cone Programming

2010 Third International Conference on Information and Computing ◽

10.1109/icic.2010.185 ◽

2010 ◽

Author(s):

Xiaoni Chi ◽

Xiaoyong Liao

Keyword(s):

Newton Method ◽

Second Order ◽

Smoothing Newton Method ◽

Cone Programming ◽

Second Order Cone Programming ◽

Second Order Cone

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On matrix characterizations for P-property of the linear transformation in second-order cone linear complementarity problems

Linear Algebra and its Applications ◽

10.1016/j.laa.2020.11.010 ◽

2020 ◽

Author(s):

Xin-He Miao ◽

Jein-Shan Chen

Keyword(s):

Linear Transformation ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Second Order ◽

Second Order Cone

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Analysis of a smoothing Newton method for second-order cone complementarity problem

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-008-0224-3 ◽

2009 ◽

Vol 31 (1-2) ◽

pp. 459-473 ◽

Author(s):

Xiangsong Zhang ◽

Sanyang Liu ◽

Zhenhua Liu

Keyword(s):

Newton Method ◽

Complementarity Problem ◽

Second Order ◽

Smoothing Newton Method ◽

Second Order Cone

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A new smoothing quasi-Newton method for nonlinear complementarity problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.11.007 ◽

2008 ◽

Vol 211 (2) ◽

pp. 141-155 ◽

Author(s):

Sandra Buhmiler ◽

Nataša Krejić

Keyword(s):

Newton Method ◽

Complementarity Problems ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity ◽

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A matrix-splitting method for symmetric affine second-order cone complementarity problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.05.018 ◽

2005 ◽

Vol 175 (2) ◽

pp. 335-353 ◽

Author(s):

Shunsuke Hayashi ◽

Takahiro Yamaguchi ◽

Nobuo Yamashita ◽

Masao Fukushima

Keyword(s):

Complementarity Problems ◽

Splitting Method ◽

Second Order ◽

Matrix Splitting ◽

Second Order Cone ◽

Matrix Splitting Method

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